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Volume of Pentakis Dodecahedron given Surface to Volume Ratio Formula

GoVolume of Pentakis Dodecahedron Formula

GoVolume of Pentakis Dodecahedron given Leg Length Formula

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Volume of Pentakis Dodecahedron is the quantity of three dimensional space enclosed by the entire surface of Pentakis Dodecahedron. Check FAQs

V = (\frac{15}{76}) \cdot (23 + (11 \cdot \sqrt{5})) \cdot ({(\frac{\frac{76}{19}}{R A/V})}^{3}) \cdot ({(\frac{\sqrt{(413 + (162 \cdot \sqrt{5}))}}{23 + (11 \cdot \sqrt{5})})}^{3})

V - Volume of Pentakis Dodecahedron?R_A/V - Surface to Volume Ratio of Pentakis Dodecahedron?

Volume of Pentakis Dodecahedron given Surface to Volume Ratio Example

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Here is how the Volume of Pentakis Dodecahedron given Surface to Volume Ratio equation looks like with Values.

Here is how the Volume of Pentakis Dodecahedron given Surface to Volume Ratio equation looks like with Units.

Here is how the Volume of Pentakis Dodecahedron given Surface to Volume Ratio equation looks like.

15044.2273 = (\frac{15}{76}) \cdot (23 + (11 \cdot \sqrt{5})) \cdot ({(\frac{\frac{76}{19}}{0.2})}^{3}) \cdot ({(\frac{\sqrt{(413 + (162 \cdot \sqrt{5}))}}{23 + (11 \cdot \sqrt{5})})}^{3})

15044.2273m³ = (\frac{15}{76}) \cdot (23 + (11 \cdot \sqrt{5})) \cdot ({(\frac{\frac{76}{19}}{0.2m⁻¹})}^{3}) \cdot ({(\frac{\sqrt{(413 + (162 \cdot \sqrt{5}))}}{23 + (11 \cdot \sqrt{5})})}^{3})

15044.2273 = (\frac{15}{76}) \cdot (23 + (11 \cdot \sqrt{5})) \cdot ({(\frac{\frac{76}{19}}{0.2})}^{3}) \cdot ({(\frac{\sqrt{(413 + (162 \cdot \sqrt{5}))}}{23 + (11 \cdot \sqrt{5})})}^{3})

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Volume of Pentakis Dodecahedron given Surface to Volume Ratio Solution

Follow our step by step solution on how to calculate Volume of Pentakis Dodecahedron given Surface to Volume Ratio?

FIRST Step Consider the formula

V = (\frac{15}{76}) \cdot (23 + (11 \cdot \sqrt{5})) \cdot ({(\frac{\frac{76}{19}}{R A/V})}^{3}) \cdot ({(\frac{\sqrt{(413 + (162 \cdot \sqrt{5}))}}{23 + (11 \cdot \sqrt{5})})}^{3})

Next Step Substitute values of Variables

∴

V = (\frac{15}{76}) \cdot (23 + (11 \cdot \sqrt{5})) \cdot ({(\frac{\frac{76}{19}}{0.2m⁻¹})}^{3}) \cdot ({(\frac{\sqrt{(413 + (162 \cdot \sqrt{5}))}}{23 + (11 \cdot \sqrt{5})})}^{3})

Next Step Prepare to Evaluate

∴

V = (\frac{15}{76}) \cdot (23 + (11 \cdot \sqrt{5})) \cdot ({(\frac{\frac{76}{19}}{0.2})}^{3}) \cdot ({(\frac{\sqrt{(413 + (162 \cdot \sqrt{5}))}}{23 + (11 \cdot \sqrt{5})})}^{3})

Next Step Evaluate

∴

V = 15044.2273155497m³

LAST Step Rounding Answer

∴

V = 15044.2273m³

Volume of Pentakis Dodecahedron given Surface to Volume Ratio Formula Elements

Variables

Functions

Volume of Pentakis Dodecahedron

Volume of Pentakis Dodecahedron is the quantity of three dimensional space enclosed by the entire surface of Pentakis Dodecahedron.

Symbol: V

Measurement: VolumeUnit: m³

Note: Value should be greater than 0.

Formulas to find Volume of Pentakis Dodecahedron

Surface to Volume Ratio of Pentakis Dodecahedron

Surface to Volume Ratio of Pentakis Dodecahedron is what part of or fraction of total volume of Pentakis Dodecahedron is the total surface area.

Symbol: R_A/V

Measurement: Reciprocal LengthUnit: m⁻¹

Note: Value should be greater than 0.

Formulas to find Surface to Volume Ratio of Pentakis Dodecahedron

sqrt

A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number.

Syntax: sqrt(Number)

Other Formulas to find Volume of Pentakis Dodecahedron

Go Volume of Pentakis Dodecahedron

V = (\frac{15}{76}) \cdot ({l Base}^{3}) \cdot (23 + (11 \cdot \sqrt{5}))

Go Volume of Pentakis Dodecahedron given Leg Length

V = (\frac{15}{76}) \cdot (23 + (11 \cdot \sqrt{5})) \cdot ({(\frac{38 \cdot l Leg}{3 \cdot (9 + \sqrt{5})})}^{3})

Go Volume of Pentakis Dodecahedron given Total Surface Area

V = (\frac{15}{76}) \cdot (23 + (11 \cdot \sqrt{5})) \cdot ({(\frac{19 \cdot TSA}{15 \cdot (\sqrt{413 + (162 \cdot \sqrt{5})})})}^{\frac{3}{2}})

Go Volume of Pentakis Dodecahedron given Midsphere Radius

V = (\frac{15}{76}) \cdot (23 + (11 \cdot \sqrt{5})) \cdot ({(\frac{4 \cdot r m}{3 + \sqrt{5}})}^{3})

How to Evaluate Volume of Pentakis Dodecahedron given Surface to Volume Ratio?

Volume of Pentakis Dodecahedron given Surface to Volume Ratio evaluator uses Volume of Pentakis Dodecahedron = (15/76)*(23+(11*sqrt(5)))*(((76/19)/(Surface to Volume Ratio of Pentakis Dodecahedron))^3)*((sqrt((413+(162*sqrt(5))))/(23+(11*sqrt(5))))^3) to evaluate the Volume of Pentakis Dodecahedron, Volume of Pentakis Dodecahedron given Surface to Volume Ratio formula is defined as quantity of three dimensional space covered by closed surface of Pentakis Dodecahedron, calculated using surface to volume ratio of Pentakis Dodecahedron. Volume of Pentakis Dodecahedron is denoted by V symbol.

How to evaluate Volume of Pentakis Dodecahedron given Surface to Volume Ratio using this online evaluator? To use this online evaluator for Volume of Pentakis Dodecahedron given Surface to Volume Ratio, enter Surface to Volume Ratio of Pentakis Dodecahedron (R_A/V) and hit the calculate button.

FAQs on Volume of Pentakis Dodecahedron given Surface to Volume Ratio

What is the formula to find Volume of Pentakis Dodecahedron given Surface to Volume Ratio?

The formula of Volume of Pentakis Dodecahedron given Surface to Volume Ratio is expressed as Volume of Pentakis Dodecahedron = (15/76)*(23+(11*sqrt(5)))*(((76/19)/(Surface to Volume Ratio of Pentakis Dodecahedron))^3)*((sqrt((413+(162*sqrt(5))))/(23+(11*sqrt(5))))^3). Here is an example- 15044.23 = (15/76)*(23+(11*sqrt(5)))*(((76/19)/(0.2))^3)*((sqrt((413+(162*sqrt(5))))/(23+(11*sqrt(5))))^3).

How to calculate Volume of Pentakis Dodecahedron given Surface to Volume Ratio?

With Surface to Volume Ratio of Pentakis Dodecahedron (R_A/V) we can find Volume of Pentakis Dodecahedron given Surface to Volume Ratio using the formula - Volume of Pentakis Dodecahedron = (15/76)*(23+(11*sqrt(5)))*(((76/19)/(Surface to Volume Ratio of Pentakis Dodecahedron))^3)*((sqrt((413+(162*sqrt(5))))/(23+(11*sqrt(5))))^3). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Volume of Pentakis Dodecahedron?

Here are the different ways to Calculate Volume of Pentakis Dodecahedron-

Volume of Pentakis Dodecahedron=(15/76)*(Base Length of Pentakis Dodecahedron^3)*(23+(11*sqrt(5)))
Volume of Pentakis Dodecahedron=(15/76)*(23+(11*sqrt(5)))*(((38*Leg Length of Pentakis Dodecahedron)/(3*(9+sqrt(5))))^3)
Volume of Pentakis Dodecahedron=(15/76)*(23+(11*sqrt(5)))*(((19*Total Surface Area of Pentakis Dodecahedron)/(15*(sqrt(413+(162*sqrt(5))))))^(3/2))

Can the Volume of Pentakis Dodecahedron given Surface to Volume Ratio be negative?

No, the Volume of Pentakis Dodecahedron given Surface to Volume Ratio, measured in Volume cannot be negative.

Which unit is used to measure Volume of Pentakis Dodecahedron given Surface to Volume Ratio?

Volume of Pentakis Dodecahedron given Surface to Volume Ratio is usually measured using the Cubic Meter[m³] for Volume. Cubic Centimeter[m³], Cubic Millimeter[m³], Liter[m³] are the few other units in which Volume of Pentakis Dodecahedron given Surface to Volume Ratio can be measured.

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